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Finding the Fourth Proportional to 13,740, 20,611.62 and 4,506

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Solution

The fourth proportional to 13,740, 20,611.62 and 4,506 is: 6,759.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,740 : 20,611.62 = 4,506 : x
  2. Step 2: Convert to fraction form
    13,740/20,611.62 = 4,506/x
  3. Step 3: Cross multiply
    13,740x = 20,611.62 × 4,506
  4. Step 4: Simplify right side
    13,740x = 92,875,959.72
  5. Step 5: Solve for x
    x = 92,875,959.72/13,740
  6. Step 6: Final answer
    x = 6,759.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.